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Simplifying 7(v + -1) + -3v = 2(2v + 3) + -15 Reorder the terms: 7(-1 + v) + -3v = 2(2v + 3) + -15 (-1 * 7 + v * 7) + -3v = 2(2v + 3) + -15 (-7 + 7v) + -3v = 2(2v + 3) + -15 Combine like terms: 7v + -3v = 4v -7 + 4v = 2(2v + 3) + -15 Reorder the terms: -7 + 4v = 2(3 + 2v) + -15 -7 + 4v = (3 * 2 + 2v * 2) + -15 -7 + 4v = (6 + 4v) + -15 Reorder the terms: -7 + 4v = 6 + -15 + 4v Combine like terms: 6 + -15 = -9 -7 + 4v = -9 + 4v Add '-4v' to each side of the equation. -7 + 4v + -4v = -9 + 4v + -4v Combine like terms: 4v + -4v = 0 -7 + 0 = -9 + 4v + -4v -7 = -9 + 4v + -4v Combine like terms: 4v + -4v = 0 -7 = -9 + 0 -7 = -9 Solving -7 = -9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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